- #1

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## Homework Statement

See attached image

*(See below)*

## Homework Equations

Differential equations.

And a combination of discrete & continuous distributions

## The Attempt at a Solution

The Continous Distribution Function (CDF) is given in the question. So I differentiated it with respect to x piecewise

*(See below)*. That is what I got

I can also see that there is a uniform distribution between 0 and 1 but also there are discrete points that have assigned probability. For example; those points could be 0,1 and 2? maybe?

I want to be able to find the value of c while remembering the sum of the probabilities must add up and equal to 1.

How do I go about solving for c? this is where I am stuck. I cannot seem to figure out where to go from here. Thanks!

__Question:__*(When I differentiated it)*